Motion of Particles in Einstein's Relativistic Field Theory. II. Application of General Theory

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Abstract
In tis paper we apply the approximation procedure of paper I to the case of certain simple ideal particles located in an isolated region of space-time and find the equations of motion satisfied by the ideal particles to certain low orders of approximation. We also find the equations of change satisfied by those quantities which characterize the structure of the particles and the field equations satisfied by the external field which acts on each particle. We find that there are simple ideal particles which, in a finite region of space-time, interact with each other, to a good approximation, according to the laws of Maxwell-Lorentz electrodynamics. In a higher order of approximation we find an additional interaction among the particles which can be looked upon as a Lorentz-covariant generalization of the interaction given by Newton's gravitational theory.